An optimal control L2-gain disturbance rejection design for networked control systems

This paper proposes an optimal control solution for the L
₂
-gain disturbance rejection problem for networked control systems. The problem, usually referred as mixed H
₂
/H
_∞
, aims at designing a linear stabilizing controller minimizing a given cost function subject to a L
₂
-gain disturbance rejection constraint. The problem is formulated assuming network induced time-varying delays and/or packet losses. An LMI-based minimization problem is derived based on a Lyapunov-Krasovskii approach, considering a polytopic covering of the time-delay range. Simulation results are provided to verify the performance of the methodology.